Three students sit in a circle in a classroom. Each student is wearing a hat, either red or white.

Consider the situation in question #1. Now suppose the teacher makes the statement "there is at least one white hat in the room". (a) If the teacher asks student 1 (in front of the other students) if they know the colour of the hat on their head, what answer does the student give? (b) If the teacher then asks student 2 (in front of the other students) if they know the colour of the hat on their head, what answer does the student give? (c) If the teacher Önally asks student 3 if they know the colour of the hat on their head, what answer does the student give? (d) How would the problem in question 1 and this question change if 2 students are wearing white hats and 1 student is wearing a red hat?